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Four  matrices  M1, M2, M3 and M4 of dimensions p×q, q×r, r×s and s×t respectively can be multiplied in several ways with different number of total scalar multiplications. For example when multiplied as [(M1 × M2) × (M3 × M4)] the total number of scalar multiplications is  pqr + rst + prt. When multiplied as [((M1 × M2)× M3)) × M4], the total number of scalar multiplications is pqr + prs + pst. If p = 10, q = 100, r = 20, s = 5 and t = 80, then the minimum number of scalar multiplications needed is:
Given below are certain facts about distance and displacement. Choose the option which gives the correct information about the two. A. It is a scalar quantity. B. It is a vector quantity. C. It can be zero. D. It cannot be zero. E. The quantity that is scalar is either equal or greater in magnitude than the quantity that is vector.
Given below are two quantities named A and B. Based on the given information, you have to determine the relation between the two quantities. You should use the given data and knowledge of Mathematics to choose between the possible answers. There are two jars which contain different liquids in different quantities Quantity I∶ Quantity of water in Jar 1, if Jar 1 contains mixture of 230 litres which contain juice, water, coke and pepsi. Ratio of quantity of water to juice is 2 : 1 and juice to coke is also 2 ∶ 1 while the ratio of quantity of coke to pepsi is 3 ∶ 2 Quantity II∶ Quantity of water in Jar 2, if Jar 2 contains 10 litres of mixture more than jar 1 and contains juice, coke and water. Water, juice and coke is poured into the jar 8 times in the ratio 3 ∶ 2 ∶ 1. Every time the quantity of a liquid is same.
Instructions: Below question contains a statement followed by quantity 1 and quantity 2. You have to study the information along with the question and compare the value derived from quantity 1 and quantity 2, then answer. Quantity 1: Radius of a circle is twice the side of square, whose diagonal is 21√2 meter, find (1/22) of area of circle and (1/7) of area of square is what percent more than the area of triangle which base and height is 30 meter and 20 meter respectively? Quantity 2: A tank of cube shape with open top side, than find open side area of tank is what percent of total area of remaining sides of tank?
Information: Given below in statement of Quantity 1, Quantity 2. What is the relation between Quantity 1, Quantity 2 Quantity 1: Ram daily go for morning walk and two round of circular path in same park. On Monday he walk 3 km/hr. and complete his walk 4 minute earlier, and on Tuesday he walk 2 km/hr. and complete his walk 6 minute later, find circular path of park (in meter) Quantity 2: Puneet cycling for cover certain distance without stoppage with speed of 5 km/hr. and he cover same distance in same time with taking rest with speed of 6 km/hr. how many second he stop every hour?
A container contains certain quantity of milk. Malik sold 20% of the milk from the container and added same quantity of water to it. From this mixture, 40% of the quantity was sold to local dealer. After this Malik again added water to the mixture equivalent to 18% of the quantity, he sold to the local dealer. At the end, he sold 75% of the mixture to the dairy and remaining unsold quantity was 5 liter. What was the initial quantity of milk in the container (approx.)?
A vector quantity has both magnitude and direction, whereas a scalar quantity has only magnitude and no direction. Which of the following is a vector quantity?
Given below are quantities named A,B and C. Based on the given information, you have to determine the relation between the quantities. You should use the given data and your knowledge of mathematics to choose among the possible answer. A milkman has 132 litres mixture of milk and water in a container which contains milk and water in the ratio 7 : 5. The milk man sold 48 litres of the mixture and added 6 litres of pure milk and 20 litres of water to the remaining mixture. The milkman again sold 42 litres of the mixture. Quantity A: Find the quantity of milk left in the container. Quantity B: Find the quantity of water left in the container. Quantity C: 35 litres.
The concentration of alcohol in same quantity of mixtures P and Q is 60% and 70% respectively and rest is water. When 10 litres of water added to each mixture then quantity of water in mixture P is 34 litres. When original quantity of mixtures P and Q are mixed, then find the difference between quantity of alcohol and quantity of water in their resultant mixture.
Consider the following pairs of physical quantities.  I. Distance - Displacement  II. Work - Power  III. Force - Momentum  Which among the above is/are a pair(s) in which one is a scalar quantity and the other is a vector quantity but both are measured with the same unit of measurement?